Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192cm |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-5046004736 = -1 · 210 · 174 · 59 |
Discriminant |
Eigenvalues |
2- -3 1 5 -2 -4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112,3448] |
[a1,a2,a3,a4,a6] |
Generators |
[14:68:1] |
Generators of the group modulo torsion |
j |
-151732224/4927739 |
j-invariant |
L |
4.2887334223116 |
L(r)(E,1)/r! |
Ω |
1.1383676561588 |
Real period |
R |
0.47093017343448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192be1 16048bd1 |
Quadratic twists by: -4 8 |